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Finding the Fourth Proportional to 185.09, 278.66 and 163.55

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Solution

The fourth proportional to 185.09, 278.66 and 163.55 is: 246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.09 : 278.66 = 163.55 : x
  2. Step 2: Convert to fraction form
    185.09/278.66 = 163.55/x
  3. Step 3: Cross multiply
    185.09x = 278.66 × 163.55
  4. Step 4: Simplify right side
    185.09x = 45,573.25
  5. Step 5: Solve for x
    x = 45,573.25/185.09
  6. Step 6: Final answer
    x = 246.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.